I would do the blind. Another idea is you can put a sheer behind the blind (I have this on most of my windows for privacy because my front windows look out on a condo complex parking lot), or decorative film on the window.

A bamboo roman shade would look like in your kitchen however will not hide the fence. I would start by painting the fence in a more neutral colour such as gray. Then if you still don't like to look at a bare fence, you can grow ivy on the fence but not use artificial ivy.

How far away is the fence?

I would grow something there that will grow tall enough to block the neighbors window/door.

What is your climate to suggest what could grow there?

a top down bottom up blind, so you can open in the middle for light but not look directly at the fence.

Blinds.com is a great online source.

If you decide on natural blinds, be sure to go with light and airy, as they will be down most of the time and also suit your kitchen better.

If you don’t mind adjusting a top down/bottom up blind due to splashing water, they are a good option.

Glass film is practical and depending on what style you choose it would suit your modern kitchen.

You could add decorative screens on the fence.

@sookmomof4 - I would love to see more photos of your kitchen!

If there is a cement patio, you could still add some real plants/decorative trees to help with the view by using a planter/containers. There are many trees that can be grown in containers/planters (there is someone who helps people on the "garden" side of Houzz - in many areas - including one that is specifically for growing trees in containers - I think he has close to 100 trees in containers).

Also, there are many ways to attach containers/shelves for plants directly on your side of the fence.

Below is a very simple idea that simply adds a board at an angle to hold the plants.

Below is a link that has some ideas (including the above one):

https://www.decorhomeideas.com/fence-planters/?utm_source=Pinterest&utm_medium=organic

I added eight of those black rectangular containers (shown in the second photo in this comment) between my Taylor Junipers that run along my back fence + have hanging baskets above those + my fence is pretty covered with plants/trees/flowers.

I don't know where you live (except that it is a coastal climate) - if you need help with specific types of plants/trees/flowers/ivy/etc. to use, you'd need to include more information + it would be a good idea to include Garden discussion topics in order to receive specific help IF this is something that you are interested in doing along your fence.

I'd hate to see you cover that beautiful window with a blind. As mentioned, it won't cover the fence. IMO, it will just make it look more choppy. You don't have to paint the fence, you can stain it with a semi-transparent wood stain to match the color of the neighbor's house so it blends in better. Stain will be a lot less maintenance than paint.